Answer
equation
$x=8/5$
Work Step by Step
$\frac{3}{x+3}=\frac{5}{x^2-9}-\frac{2}{x-3}$
$\frac{3}{x+3}=\frac{5}{(x+3)(x-3)}-\frac{2}{x-3}$
$(x+3)(x-3)*\frac{3}{x+3}=(x+3)(x-3)*\frac{5}{(x+3)(x-3)}-(x+3)(x-3)*\frac{2}{x-3}$
$3(x-3)=5-(x+3)*2$
$3x-9=5-2x-6$
$3x-9=-2x-1$
$5x-9=-1$
$5x=8$
$5x/5=8/5$
$x=8/5$